Designing and Excluding Periodicity

Abstract

From the investigations of HANUSSE[1], TYSON and LIGHT [2] and PÓTA [3] it is known that in two-component bimolecular systems there is only one oscillator: the Volterra-Lotka model. The following question has arisen: is it also true that this model is the unique simplest one among all the models with the same linearized form around their own stationary state? The answer to this question being yes does add something new to the result cited above.